For this use the law of sines:


cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:

therefore answer B. 42 is the correct answer!!
E = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23}
Nata [24]
Answer:
A=11,13,17,19 B=12,18 None=10,14,16,19 Both=15
Step-by-step explanation:
11,13,15,17,19 are all odd so they go in A
12,15,18 Are all multiples of 3 so they go in B
10,14,16,19 Are not classified so they go outside of the diagram but inside E
15 is odd and a multiple of 3 so put it in the center and not with A and B
Given that, Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively.Find the height of the smallest tank if the larger is 300cm tall?
Assume that, the tanks are rectangular in shapes and differ only on their heights. The volume of the larger tank is
V1 = l × w × h1 while the volume of the smaller tank is V2 = l ×w × h2. The ratios of the capacities is

Solving for the height of the smaller tank h2


1000000 × h2 = 51200 × 300 cm
h2 = (51200 × 300 cm) /1000000
h2 = 15.36 cm


Perimeter of a rectangle can be represented by 2* length + 2 * width
We can represent the width with the variable x
We can represent the length by the expression 3x-1
So, now we can make a forumla and solve
2(3x-1) + 2(x) = 30
6x-2+2x = 30
8x = 32
x = 4 is the width of the rectange.
Now we find the length
3(4)-1
11 = Length